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100012012222200 = 233521312822052849
BaseRepresentation
bin10110101111010111011100…
…011101100011011011111000
3111010010001111002102122100020
4112233113130131203123320
5101102044100112102300
6552412514550210440
730031425616302231
oct2657273435433370
9433101432378306
10100012012222200
1129959946656541
12b272bb8653a20
1343a6127999930
141a9a8702d2088
15b8681e1568a0
hex5af5dc7636f8

100012012222200 has 96 divisors (see below), whose sum is σ = 333886256214000. Its totient is φ = 24618341468160.

The previous prime is 100012012222169. The next prime is 100012012222217. The reversal of 100012012222200 is 2222210210001.

It is a super-3 number, since 3×1000120122222003 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100012012222200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6411018625 + ... + 6411034224.

Almost surely, 2100012012222200 is an apocalyptic number.

100012012222200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012012222200 is an abundant number, since it is smaller than the sum of its proper divisors (233874243991800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100012012222200 is a wasteful number, since it uses less digits than its factorization.

100012012222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12822052881 (or 12822052872 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100012012222200 its reverse (2222210210001), we get a palindrome (102234222432201).

The spelling of 100012012222200 in words is "one hundred trillion, twelve billion, twelve million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 12822052849 25644105698 38466158547 51288211396 64110264245 76932317094 102576422792 128220528490 153864634188 166686687037 192330792735 256441056980 307729268376 320551321225 333373374074 384661585470 500060061111 512882113960 641102642450 666746748148 769323170940 833433435185 961653963675 1000120122222 1282205284900 1333493496296 1538646341880 1666866870370 1923307927350 2000240244444 2500300305555 2564410569800 3333733740740 3846615854700 4000480488888 4167167175925 5000600611110 6667467481480 7693231709400 8334334351850 10001201222220 12501501527775 16668668703700 20002402444440 25003003055550 33337337407400 50006006111100 100012012222200